000 04577nam a22004935i 4500
001 978-1-4020-2623-2
003 DE-He213
005 20251006084448.0
007 cr nn 008mamaa
008 100301s2005 ne | s |||| 0|eng d
020 _a9781402026232
020 _a99781402026232
024 7 _a10.1007/1-4020-2623-4
_2doi
082 0 4 _a620
_223
100 1 _aCastañeda, P. Ponte.
_eeditor.
245 1 0 _aNonlinear Homogenization and its Applications to Composites, Polycrystals and Smart Materials
_h[electronic resource] /
_cedited by P. Ponte Castañeda, J. J. Telega, B. Gambin.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2005.
300 _aXXI, 355 p. With CD-ROM
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aNATO Science Series II: Mathematics, Physics and Chemistry,
_x1568-2609 ;
_v170
505 0 _aTopology Optimization with the Homogenization and the Level-Set Methods -- Thin Films of Active Materials -- The Passage from Discrete to Continuous Variational Problems: a Nonlinear Homogenization Process -- Approaches to Nonconvex Variational Problems of Mechanics -- On G-Compactness of the Beltrami Operators -- Homogenization and Optimal Design in Structural Mechanics -- Homogenization and Design of Functionally Graded Composites for Stiffness and Strength -- Homogenization for Nonlinear Composites in the Light of Numerical Simulations -- Existence and Homogenization for the Problem ?div a(x, Du)=f When a(x, ?) is a Maximal Monotone Graph in ? for Every x -- Optimal Design in 2-D Conductivity for Quadratic Functionals in the Field -- Linear Comparison Methods for Nonlinear Composites -- Models of Microstructure Evolution in Shape Memory Alloys -- Stochastic Homogenization: Convexity and Nonconvexity.
520 _aAlthough several books and conference proceedings have already appeared dealing with either the mathematical aspects or applications of homogenization theory, there seems to be no comprehensive volume dealing with both aspects. The present volume is meant to fill this gap, at least partially, and deals with recent developments in nonlinear homogenization emphasizing applications of current interest. It contains thirteen key lectures presented at the NATO Advanced Workshop on Nonlinear Homogenization and Its Applications to Composites, Polycrystals and Smart Materials. The list of thirty one contributed papers is also appended. The key lectures cover both fundamental, mathematical aspects of homogenization, including nonconvex and stochastic problems, as well as several applications in micromechanics, thin films, smart materials, and structural and topology optimization. One lecture deals with a topic important for nanomaterials: the passage from discrete to continuum problems by using nonlinear homogenization methods. Some papers reveal the role of parameterized or Young measures in description of microstructures and in optimal design. Other papers deal with recently developed methods - both analytical and computational - for estimating the effective behavior and field fluctuations in composites and polycrystals with nonlinear constitutive behavior. All in all, the volume offers a cross-section of current activity in nonlinear homogenization including a broad range of physical and engineering applications. The careful reader will be able to identify challenging open problems in this still evolving field. For instance, there is the need to improve bounding techniques for nonconvex problems, as well as for solving geometrically nonlinear optimum shape-design problems, using relaxation and homogenization methods.
650 0 _aMATHEMATICS.
650 0 _aENGINEERING.
650 0 _aENGINEERING MATHEMATICS.
650 0 _aMECHANICAL ENGINEERING.
650 1 4 _aMATHEMATICS.
650 2 4 _aENGINEERING, GENERAL.
650 2 4 _aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650 2 4 _aSTRUCTURAL MECHANICS.
700 1 _aTelega, J. J.
_eeditor.
700 1 _aGambin, B.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402026218
830 0 _aNATO Science Series II: Mathematics, Physics and Chemistry,
_x1568-2609 ;
_v170
856 4 0 _uhttp://dx.doi.org/10.1007/1-4020-2623-4
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-CMS
942 _2ddc
_cER
999 _c60244
_d60244